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Finding the Fourth Proportional to 81,714.42, 122,607 and 34,341.84

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Solution

The fourth proportional to 81,714.42, 122,607 and 34,341.84 is: 51,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.42 : 122,607 = 34,341.84 : x
  2. Step 2: Convert to fraction form
    81,714.42/122,607 = 34,341.84/x
  3. Step 3: Cross multiply
    81,714.42x = 122,607 × 34,341.84
  4. Step 4: Simplify right side
    81,714.42x = 4,210,549,976.88
  5. Step 5: Solve for x
    x = 4,210,549,976.88/81,714.42
  6. Step 6: Final answer
    x = 51,527.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.